{"id":"https://openalex.org/W2022720440","doi":"https://doi.org/10.1016/s0012-365x(96)00385-8","title":"On contractible and vertically contractible elements in 3-connected matroids and graphs","display_name":"On contractible and vertically contractible elements in 3-connected matroids and graphs","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2022720440","doi":"https://doi.org/10.1016/s0012-365x(96)00385-8","mag":"2022720440"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(96)00385-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(96)00385-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014610188","display_name":"Haidong Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I145610796","display_name":"Southern University and Agricultural and Mechanical College","ror":"https://ror.org/04r3m2882","country_code":"US","type":"education","lineage":["https://openalex.org/I145610796"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Haidong Wu","raw_affiliation_strings":["Department of Mathematics, Southern University, Baton Rouge, LA 70813, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southern University, Baton Rouge, LA 70813, USA","institution_ids":["https://openalex.org/I145610796"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014610188"],"corresponding_institution_ids":["https://openalex.org/I145610796"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.5303,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8218057,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"179","issue":"1-3","first_page":"185","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.978502631187439},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8845547437667847},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8207782506942749},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7095540165901184},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5928806662559509},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49519434571266174},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4892590045928955},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.38747596740722656}],"concepts":[{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.978502631187439},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8845547437667847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8207782506942749},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7095540165901184},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5928806662559509},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49519434571266174},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4892590045928955},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.38747596740722656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(96)00385-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(96)00385-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1971578995","https://openalex.org/W1976736311","https://openalex.org/W1985962973","https://openalex.org/W1986323214","https://openalex.org/W1992792810","https://openalex.org/W1997034029","https://openalex.org/W1997500224","https://openalex.org/W2000704782","https://openalex.org/W2003051823","https://openalex.org/W2020328701","https://openalex.org/W2033985129","https://openalex.org/W2040101882","https://openalex.org/W2057927603","https://openalex.org/W2067458708","https://openalex.org/W2077628423","https://openalex.org/W2081599503","https://openalex.org/W2170138274","https://openalex.org/W2312770308","https://openalex.org/W2335172256","https://openalex.org/W4300303686","https://openalex.org/W6643322658","https://openalex.org/W6684798922"],"related_works":["https://openalex.org/W2058489697","https://openalex.org/W2106412416","https://openalex.org/W4367050287","https://openalex.org/W2046319394","https://openalex.org/W146649319","https://openalex.org/W2072414647","https://openalex.org/W2550106438","https://openalex.org/W4313680207","https://openalex.org/W2494200571","https://openalex.org/W2409819057"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}